Enter the correct answer in the box. What is the standard form of function f? f(x)=4(x+6)^2+5 Substitute numerical values into the equation for a, b, and c. f(x)=ax^(2) +bx+c

Question

Enter the correct answer in the box.

What is the standard form of function f?


`f(x)=4(x+6)^2+5`

Substitute numerical values into the equation for a, b, and c.


`f(x)=ax^(2) +bx+c`

Answer 1

f(x) = 4x² + 48x + 149

Explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL

= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

= 4x² + 48x + 144 + 5 ← collect like terms

= 4x² + 48x + 149 ← in standard form

Answer 2

Have a great rest of your day ;)

Explanation: